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4 years ago

13

I know this is super easy but i'm stupid please help!! (3/4)^3= ???

1 answer:

ololo11 [35]4 years ago

6 0

$\huge\sf {\dag Question}$

$\large\sf { {\dfrac{3}{4}}^{3}}$

$\huge\sf {\dag Solution }$

$\large\sf { \leadsto \dfrac{3 \times 3 \times 3}{4 \times 4 \times 4}}$

$\large\sf { \leadsto \dfrac{27}{64} (Ans) }$

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What is the value of log(x exponent 2 y exponent 3 divided by z) when given the following:

Gekata [30.6K]

Answer:

B. 13

Explanation:

$\sf\:Given\:expression: log(\dfrac{x^2 y^3}{z} )$

Logarithm rules:

$\sf (i) \ \sf log(ab) = log(a) + log(b)\\ \\ (ii) \ log(a/b) = log(a) - log(b)\\\\ (iii) \ log(a^n) = n log(a)$

Breakdown of the expression:

$\rightarrow \sf log\left(\dfrac{x^2y^3}{z}\right)$

$\rightarrow \sf log\left(x^2\right) + log\left(y^3\right) - log(z)$

$\rightarrow \sf 2\log\left(x\right)+3\log \left(y\right)-\log \left(z\right)$

insert given values

$\rightarrow \sf 2(3)+3(2)-(-1)$

$\rightarrow \sf 13$

7 0

2 years ago

Choose the solution(s) of the following system of equations x2 + y2 = 6 x2 – y = 6

ElenaW [278]

<h2>Answer</h2>

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

Or as ordered pairs: $(\sqrt{6} ,0),(-\sqrt{6} ,0),(\sqrt{5} ,-1),(-\sqrt{5} ,-1)$

<h2>Explanation</h2>

Lets solve our system of equations step by step

$x^2+y^2=6$ equation (1)

$x^2-y=6$ equation (2)

1. Solve for $x^2$ in equation (2)

$x^2-y=6$

$x^2=6+y$ equation (3)

2. Replace equation (3) in equation (1) and solve for $y$

$x^2+y^2=6$

$6+y+y^2=6$

$y^2+y=0$

$y(y+1)=0$

$y=0$ or $y=-1$

3. Replace the values of $y$ in equation (3) and solve for $x$

- For $y=0$

$x^2=6+y$

$x^2=6$

$x=\sqrt{6}$ or $x=-\sqrt{6}$

- For $y=-1$

$x^2=6+y$

$x^2=6-1$

$x^2=5$

$x=\sqrt{5}$ or $x=-\sqrt{5}$

So, the solutions of our system of equation are:

$x=\sqrt{6}, y=0\\ x=-\sqrt{6} , y=0\\x=\sqrt{5} , y=-1\\x=-\sqrt{5} , y=-1$

6 0

3 years ago

Read 2 more answers

How do you write (3/4) as a fraction

Artist 52 [7]

Answer:

3

- Decimal=0.75

4

Step-by-step explanation:

You put the three, then you put a dash under it, then you put a four under the dash

3 0

4 years ago

Find the total charges if it takes the computer

Tom [10]

Answer:

225

Step-by-step explanation:

the person chages 40 per hour with a one time service charge of 65. our equation is 40h+65 where h equal hours. the person spend 4 hour so the equation is (40x4)+65. 40x4 is 160. 160 + 65 is 225

5 0

3 years ago

4x^2 = 16<br><br> The solution to the equation is: ____?

Andreas93 [3]

${4x}^{2} = 16 \\ = > {x}^{2} = \frac{16}{4} \\ = > {x}^{2} = 4 \\ = > x = \sqrt{4} \\ = > x = ± 2 \: \:$

<u>Answer:</u>

The solution to the equation is: <u>±</u><u>2</u><u>.</u>

Hope you could get an idea from here.

Doubt clarification - use comment section.

3 0

2 years ago